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1346653056 = 27371573191
BaseRepresentation
bin101000001000100…
…0100101110000000
310110211222001201010
41100101010232000
510224220344211
6341343240520
745241235130
oct12021045600
93424861633
101346653056
11631172411
12316ba9140
13185cc0b38
14cabc6ac0
157d3584a6
hex50444b80

1346653056 has 128 divisors (see below), whose sum is σ = 4115381760. Its totient is φ = 382187520.

The previous prime is 1346653027. The next prime is 1346653081. The reversal of 1346653056 is 6503566431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420421 + ... + 423611.

It is an arithmetic number, because the mean of its divisors is an integer number (32151420).

Almost surely, 21346653056 is an apocalyptic number.

1346653056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346653056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057690880).

1346653056 is an abundant number, since it is smaller than the sum of its proper divisors (2768728704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1346653056 is a wasteful number, since it uses less digits than its factorization.

1346653056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 1346653056 is about 36696.7717381243. The cubic root of 1346653056 is about 1104.2953421130.

The spelling of 1346653056 in words is "one billion, three hundred forty-six million, six hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 157 168 192 224 314 336 384 448 471 628 672 896 942 1099 1256 1344 1884 2198 2512 2688 3191 3297 3768 4396 5024 6382 6594 7536 8792 9573 10048 12764 13188 15072 17584 19146 20096 22337 25528 26376 30144 35168 38292 44674 51056 52752 60288 67011 70336 76584 89348 102112 105504 134022 140672 153168 178696 204224 211008 268044 306336 357392 408448 422016 500987 536088 612672 714784 1001974 1072176 1225344 1429568 1502961 2003948 2144352 2859136 3005922 3506909 4007896 4288704 6011844 7013818 8015792 8577408 10520727 12023688 14027636 16031584 21041454 24047376 28055272 32063168 42082908 48094752 56110544 64126336 84165816 96189504 112221088 168331632 192379008 224442176 336663264 448884352 673326528 1346653056